# Engineering Mathematics [GATE (Graduate Aptitude Test in Engineering) Mechanical Engineering]: Questions 7 - 11 of 40

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## Question 7

Engineering Mathematics
First Order and Higher Order Linear Differential Equations

Appeared in Year: 2015

### Question

MCQ▾

Find the solution of which passes through the origin and the point

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 8

Engineering Mathematics
System of Linear Equations

Appeared in Year: 2015

### Question

A precision instrument package needs to be mounted on a surface vibrating at . It is desired that only of the base surface vibration amplitude be transmitted to the instrument. Assume that the isolation is designed with its natural frequency significantly lesser than , so that the effect of damping may be ignored. The stiffness (in ) of the required mounting pad is

## Question 9

Engineering Mathematics
Conditional Probability

Appeared in Year: 2015

### Question

MCQ▾

The probability of obtaining at least two “SIX” in throwing a fair dice 4 times is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 10

Engineering Mathematics
System of Linear Equations

Appeared in Year: 2015

### Question

MCQ▾

Considering massless rigid rod and small oscillations, the natural frequency (in rad/s) of vibration of the system shown in the figure is

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question 11

Engineering Mathematics
System of Linear Equations
Edit

Appeared in Year: 2015